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The tungsten filament of an electric lam...

The tungsten filament of an electric lamp has a surface areaA and a power rating P. If the emissivity of the filament is `varepsilon` and `sigma` is Stefan's constant,the steady temperature of the filament will be:

A

`T=((P)/(A epsilon sigma))^4`

B

`T=((P)/(A epsilon sigma))`

C

`T=((A epsilon sigma)/(P))^(1//4)`

D

`T=((P)/(A epsilon sigma))^(1/4)`

Text Solution

Verified by Experts

The correct Answer is:
D

Rate of energy (Power) `P=A epsilon sigma T^4`
`T=((P)/(A epsilon sigma))^(1/4)`
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Knowledge Check

  • A electric bulb has a filament made of?

    A
    Iron
    B
    Lead
    C
    Copper
    D
    Tungsten
  • To support tungsten filament in electric bulb, the steel used is

    A
    `Cr`
    B
    `Ni`
    C
    `M`
    D
    `Mo`
  • The surface temperature of the sun is about 6000 K. the sun's radiation has maximum energy at a wavelength of 0.5 mu m. a certain light bulb filament emits radiations with a maximum at 2 mu m. if both the surface of the sun and the filament have the same emissive characteristics, then the temperature of the filament will be

    A
    1500 K
    B
    2000 K
    C
    2500 K
    D
    3000 K